论文标题
探索开放量子动态的限制I：动机，玩具模型到应用程序的新结果
Exploring the Limits of Open Quantum Dynamics I: Motivation, New Results from Toy Models to Applications
论文作者
论文摘要
可以通过控制Markovian $ n $级量子系统来达到哪些量子状态？在这里，我们解决了可连接可控制的量子系统的可接触式集合，可切换耦合到温度$ t $的热浴。核心问题减少了一个在标准单纯形中研究点的玩具模型，允许两种类型的控件：（i）单纯形内排列，（ii）耗散半群的收缩。通过插图，我们将问题置于上下文中，并展示了玩具模型的解决方案与原始受控的马尔可夫量子系统的可触及集合有关。除了情况以外，我们使用$ d $ -Majorisation的方法以$ 0 <t <\ infty $提出了新的结果。
Which quantum states can be reached by controlling open Markovian $n$-level quantum systems? Here, we address reachable sets of coherently controllable quantum systems with switchable coupling to a thermal bath of temperature $T$. The core problem reduces to a toy model of studying points in the standard simplex allowing for two types of controls: (i) permutations within the simplex, (ii) contractions by a dissipative semigroup. By illustration, we put the problem into context and show how toy-model solutions pertain to the reachable set of the original controlled Markovian quantum system. Beyond the case $T=0$ (amplitude damping) we present new results for $0 <T < \infty$ using methods of $d$-majorisation.
